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» Enumeration Reducibility with Polynomial Time Bounds
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MST
2010
86views more  MST 2010»
14 years 4 months ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke
APAL
2007
131views more  APAL 2007»
14 years 10 months ago
Bounded fixed-parameter tractability and reducibility
We study a refined framwork of parameterized complexity theory where the parameter dependendence of fixed-parameter tractable algorithms is not arbitrary, but restricted by a fu...
Rod Downey, Jörg Flum, Martin Grohe, Mark Wey...
CORR
2008
Springer
72views Education» more  CORR 2008»
14 years 10 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
FOCS
2006
IEEE
15 years 3 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
TON
2008
119views more  TON 2008»
14 years 9 months ago
Polynomial time approximation algorithms for multi-constrained QoS routing
We study the multi-constrained Quality-of-Service (QoS) routing problem where one seeks to find a path from a source to a destination in the presence of K 2 additive end-to-end Qo...
Guoliang Xue, Weiyi Zhang, Jian Tang, Krishnaiyan ...